Phragm\'en's sequential method with a variance criterion

TL;DR

This paper explores a variant of Phragmén's sequential method for approval voting, which generalizes Sainte-Laguë's rule instead of using D'Hondt's rule, aiming to improve proportional representation.

Contribution

It introduces a new variant of Phragmén's method that replaces D'Hondt's rule with Sainte-Laguë's rule, expanding the method's theoretical framework.

Findings

The variant offers a different approach to proportional representation.

It provides a theoretical basis for the new method.

Potential implications for approval voting systems.

Abstract

A variant of Phragm\'en's method for proportional representation via approval voting is briefly explored. Instead of D'Hondt's rule, this variant generalizes Sainte-Lagu\"e's rule.